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On a sheaf representation of a class of near-rings

Published online by Cambridge University Press:  09 April 2009

George Szeto
George Szeto
Affiliation:
Department of Mathematics Bradley University, Peoria, Illinois 61625. The University of Chicago, Chicago, Illinois 60637, U.S.A.
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Abstract

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It is proved that R is a near-ring with identity in which every element is a power of itself if and only if it is isomorphic with a near-ring of sections of a sheaf of near-fields in which every element is a power of itself. We also obtain that the Boolean spectrum is homeomorphic with the space of all completely prime ideals of R with the Zariski topology.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 1 , February 1977 , pp. 78 - 83
Copyright
Copyright © Australian Mathematical Society 1977

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